Pith Number

pith:GZ2HOBIY

pith:2025:GZ2HOBIYEXFAIIXKTXU7J3ZAEK

not attested not anchored not stored refs pending

A Geometric Multigrid-Accelerated Compact Gas-Kinetic Scheme for Fast Convergence in High-Speed Flows on GPUs

Hongyu Liu, Kun Xu, Xing Ji, Yuan Fu

arxiv:2509.06347 v1 · 2025-09-08 · math.NA · cs.NA · physics.comp-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GZ2HOBIYEXFAIIXKTXU7J3ZAEK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T12:06:34.154491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367477051825ca0422ea9de9f4ef20229ea62803e01cad6a56aea8e97fbb6289

Aliases

arxiv: 2509.06347 · arxiv_version: 2509.06347v1 · doi: 10.48550/arxiv.2509.06347 · pith_short_12: GZ2HOBIYEXFA · pith_short_16: GZ2HOBIYEXFAIIXK · pith_short_8: GZ2HOBIY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GZ2HOBIYEXFAIIXKTXU7J3ZAEK \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 367477051825ca0422ea9de9f4ef20229ea62803e01cad6a56aea8e97fbb6289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28cf51d687d7ec6d7194a9fc999b7fe82a858e66ca6056b89ccb491e23d1407",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-09-08T05:40:57Z",
    "title_canon_sha256": "e674497a5dc01541dc2d6f775f864aebb9f6346953eddb80141b6f56e3e12169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06347",
    "kind": "arxiv",
    "version": 1
  }
}